Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below.
Copy To Clipboard
Successfully Copied!
Oscillating Patterns in Image Processing and Nonlinear Evolution Equations: The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures
 
Yves Meyer École Normale Supérieure de Cachan, Cachan, France
Front Cover for Oscillating Patterns in Image Processing and Nonlinear Evolution Equations
Available Formats:
Softcover ISBN: 978-0-8218-2920-2
Product Code: ULECT/22
122 pp 
List Price: $32.00
MAA Member Price: $28.80
AMS Member Price: $25.60
Electronic ISBN: 978-1-4704-2169-4
Product Code: ULECT/22.E
122 pp 
List Price: $30.00
MAA Member Price: $27.00
AMS Member Price: $24.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $48.00
MAA Member Price: $43.20
AMS Member Price: $38.40
Front Cover for Oscillating Patterns in Image Processing and Nonlinear Evolution Equations
Click above image for expanded view
  • Front Cover for Oscillating Patterns in Image Processing and Nonlinear Evolution Equations
  • Back Cover for Oscillating Patterns in Image Processing and Nonlinear Evolution Equations
Oscillating Patterns in Image Processing and Nonlinear Evolution Equations: The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures
Yves Meyer École Normale Supérieure de Cachan, Cachan, France
Available Formats:
Softcover ISBN:  978-0-8218-2920-2
Product Code:  ULECT/22
122 pp 
List Price: $32.00
MAA Member Price: $28.80
AMS Member Price: $25.60
Electronic ISBN:  978-1-4704-2169-4
Product Code:  ULECT/22.E
122 pp 
List Price: $30.00
MAA Member Price: $27.00
AMS Member Price: $24.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $48.00
MAA Member Price: $43.20
AMS Member Price: $38.40
  • Book Details
     
     
    University Lecture Series
    Volume: 222001
    MSC: Primary 35; 42; 65; 76;

    Image compression, the Navier-Stokes equations, and detection of gravitational waves are three seemingly unrelated scientific problems that, remarkably, can be studied from one perspective. The notion that unifies the three problems is that of “oscillating patterns”, which are present in many natural images, help to explain nonlinear equations, and are pivotal in studying chirps and frequency-modulated signals.

    The first chapter of this book considers image processing, more precisely algorithms of image compression and denoising. This research is motivated in particular by the new standard for compression of still images known as JPEG-2000. The second chapter has new results on the Navier-Stokes and other nonlinear evolution equations. Frequency-modulated signals and their use in the detection of gravitational waves are covered in the final chapter.

    In the book, the author describes both what the oscillating patterns are and the mathematics necessary for their analysis. It turns out that this mathematics involves new properties of various Besov-type function spaces and leads to many deep results, including new generalizations of famous Gagliardo-Nirenberg and Poincaré inequalities.

    This book is based on the “Dean Jacqueline B. Lewis Memorial Lectures” given by the author at Rutgers University. It can be used either as a textbook in studying applications of wavelets to image processing or as a supplementary resource for studying nonlinear evolution equations or frequency-modulated signals. Most of the material in the book did not appear previously in monograph literature.

    Readership

    Graduate students and researchers working in functional analysis and its applications, in particular to signal and image processing.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Still images compression
    • Chapter 2. The role of oscillations in some nonlinear PDE’s
    • Chapter 3. Frequency modulated signals, chirps and the Virgo program
    • Conclusion
  • Request Review Copy
  • Get Permissions
Volume: 222001
MSC: Primary 35; 42; 65; 76;

Image compression, the Navier-Stokes equations, and detection of gravitational waves are three seemingly unrelated scientific problems that, remarkably, can be studied from one perspective. The notion that unifies the three problems is that of “oscillating patterns”, which are present in many natural images, help to explain nonlinear equations, and are pivotal in studying chirps and frequency-modulated signals.

The first chapter of this book considers image processing, more precisely algorithms of image compression and denoising. This research is motivated in particular by the new standard for compression of still images known as JPEG-2000. The second chapter has new results on the Navier-Stokes and other nonlinear evolution equations. Frequency-modulated signals and their use in the detection of gravitational waves are covered in the final chapter.

In the book, the author describes both what the oscillating patterns are and the mathematics necessary for their analysis. It turns out that this mathematics involves new properties of various Besov-type function spaces and leads to many deep results, including new generalizations of famous Gagliardo-Nirenberg and Poincaré inequalities.

This book is based on the “Dean Jacqueline B. Lewis Memorial Lectures” given by the author at Rutgers University. It can be used either as a textbook in studying applications of wavelets to image processing or as a supplementary resource for studying nonlinear evolution equations or frequency-modulated signals. Most of the material in the book did not appear previously in monograph literature.

Readership

Graduate students and researchers working in functional analysis and its applications, in particular to signal and image processing.

  • Chapters
  • Chapter 1. Still images compression
  • Chapter 2. The role of oscillations in some nonlinear PDE’s
  • Chapter 3. Frequency modulated signals, chirps and the Virgo program
  • Conclusion
Please select which format for which you are requesting permissions.